X.... Xn random sample w/ size n from paf: f(x) = 0x -(0+1) for X >I where 0>0 1) If Y = log(x), How do I show that Eln' ? Y; )=% and does the varianc ( 1=1 of nε vi reach the CRIB? 2) How do you find the limiting distribution of √n (log ô - logo) if ô is the MLE of O n

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 25EQ
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X.... Xn random sample w/ size n
from paf:
f(x) = 0x
-(0+1)
for X >I where 0>0
1) If Y = log(x), How do I show that
Eln' ? Y; )=% and does the varianc
(
1=1
of nε vi reach the CRIB?
2) How do you find the limiting distribution
of √n (log ô - logo) if ô is the MLE of O
n
Transcribed Image Text:X.... Xn random sample w/ size n from paf: f(x) = 0x -(0+1) for X >I where 0>0 1) If Y = log(x), How do I show that Eln' ? Y; )=% and does the varianc ( 1=1 of nε vi reach the CRIB? 2) How do you find the limiting distribution of √n (log ô - logo) if ô is the MLE of O n
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